What is the Least Common Multiple of 34085 and 34101?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 34085 and 34101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34085 and 34101, than apply into the LCM equation.

GCF(34085,34101) = 1
LCM(34085,34101) = ( 34085 × 34101) / 1
LCM(34085,34101) = 1162332585 / 1
LCM(34085,34101) = 1162332585

Least Common Multiple (LCM) of 34085 and 34101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34085 and 34101. First we will calculate the prime factors of 34085 and 34101.

Prime Factorization of 34085

Prime Factorization of 34101

Now multiplying the highest exponent prime factors to calculate the LCM of 34085 and 34101.

LCM(34085,34101) = 5¹ × 17¹ × 401¹ × 3⁴ × 421¹
LCM(34085,34101) = 1162332585